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Finding the Fourth Proportional to 513.53, 770.18 and 188.78

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Solution

The fourth proportional to 513.53, 770.18 and 188.78 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 770.18 = 188.78 : x
  2. Step 2: Convert to fraction form
    513.53/770.18 = 188.78/x
  3. Step 3: Cross multiply
    513.53x = 770.18 × 188.78
  4. Step 4: Simplify right side
    513.53x = 145,394.58
  5. Step 5: Solve for x
    x = 145,394.58/513.53
  6. Step 6: Final answer
    x = 283.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.